The Dodgers sent right-hander Edwin Jackson and minor league lefty Chuck Tiffany to the Devil Rays in the deal. Los Angeles also gets a minor league player to be named.

Baez went 5-4 with a 2.86 ERA and a career-best 41 saves last season, earning a spot on the AL All-Star team. He has 96 saves over the past three seasons.

Gagne, one of baseball's best closers, underwent season-ending surgery on his pitching elbow in June. He is expected back sometime this year, but now the Dodgers have a proven closer to call on until he returns.

"The opportunity to add two relievers of this caliber to our bullpen fills a big need for us," Los Angeles general manager Ned Colletti said.

Carter was an AL All-Star in 2003, when he had a career-high 26 saves in 62 appearances. Last season, he appeared in 39 games, going 1-2 with a 4.89 ERA in 57 innings.

Jackson, once considered a top prospect, appeared in 19 games for the Dodgers over the past three seasons, going 6-4 with a 5.50 ERA. Last season, he was a combined 9-11 with a 5.91 ERA for Double-A Jacksonville and Triple-A Las Vegas before going 2-2 with a 6.28 ERA for the Dodgers.

"The stuff that made him rated that high is still there," Tampa Bay executive vice president Andrew Friedman said during a conference call. "He still possesses that dominant stuff and we're excited to get him in the organization."

Tiffany went 11-7 with a 3.93 ERA and 134 strikeouts for Class-A Vero Beach last season, and the Devil Rays view him as a starter. In three pro seasons, he is 16-9 with a 3.90 ERA and 279 strikeouts.

"We didn't seek this out, but after an in-depth exploration it makes sense for us," Friedman said. "We think these guys have a real chance to be part of our future."

Baez's contract calls for a $4 million salary this year. The Devil Rays picked up his option after last season rather than give him a $1 million buyout.

Carter agreed to a $550,000, one-year deal last month.

The Devil Rays will have a revamped bullpen next season and closer is a big question mark. They recently signed right-hander Dan Miceli and Japanese reliever Shinji Mori.